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Finding the Third Proportional to 15,319 and 33,067

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Solution

The third proportional to 15,319 and 33,067 is: 71,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319 : 33,067 = 33,067 : x
  2. Step 2: Convert to fraction form
    15,319/33,067 = 33,067/x
  3. Step 3: Cross multiply
    15,319x = 33,067 × 33,067
  4. Step 4: Simplify right side
    15,319x = 1,093,426,489
  5. Step 5: Solve for x
    x = 1,093,426,489/15,319
  6. Step 6: Final answer
    x = 71,377.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.